In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficie...In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficient solutions of the same multiobjectiveprogramming problem, but the converse is not true. In a ceratin sense , these solutionsare in fact better than any other Pareto efficient solutions. Some basic theorems whichcharacterize major-efficient solutions and weakly major-efficient solutions of multiobjective programming are stated and proved. Furthermore,the existence and some geometricproperties of these solutions are studied.展开更多
In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-poin...In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-pointed, non-convex and non-closed into a finite union of disjoint strictly supported pointed convex cones, we discuss the continuous perturbations of the decision space. Several sufficient conditions for the continuity of the sets of majorly efficiellt points and solutions are given.展开更多
This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive ...This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive the nonlinear Boussinesq equation with external sources.We demonstrate the existence of explicit zero-order and first-order Wronskian solutions for the model equation whenα4=0.Furthermore,using a modified Jacobi elliptic function method,we obtain soliton-like solutions for bothα4=0 andα4≠0.Analysis of these solutions reveals that the generalizedβ-plane approximation and shear flow are significant factors in inducing nonlinear Rossby waves,and that external sources play a crucial role in influencing Rossby wave behavior.展开更多
This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN)...This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN),where f∈C(R,R),a,b>0 are constants,μ∈R is not fixed and instead appears as a Lagrange multiplier and m>0 is a given constant.In a mass subcritical case,using a version of the minimax theorem([32,Theorem 2.1])for a class of constrained even functionals,we demonstrate the existence of one nonradial normalized solution when N≥4.Additionally,if N≥4 and N≠5,we obtain multiple nonradial normalized solutions.Moreover,the existence of infinitely many radial normalized solutions is explored for N≥2.Furthermore,all solutions discussed above are sign-changing.As a supplementary result,we also prove the nonexistence of nontrivial solutions.Lastly,we analyze the asymptotic behavior of all solutions obtained above as b→0.展开更多
We develop a new evolutionary method of generating epsilon-efficient solutions of a continuous multiobjective programming problem. This is achieved by discretizing the problem and then using a genetic algorithm with s...We develop a new evolutionary method of generating epsilon-efficient solutions of a continuous multiobjective programming problem. This is achieved by discretizing the problem and then using a genetic algorithm with some derived probabilistic stopping criteria to obtain all minimal solutions for the discretized problem. We prove that these minimal solutions are the epsilon-optimal solutions to the original problem. We also present some computational examples illustrating the efficiency of our method.展开更多
1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition...1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition data,assisting driving decisions,and enabling autonomous driving functions.Compared with other in-vehicle perception sensors,vision sensors deliver more detailed and comprehensive environmental information,offering vital data to support intelligent driving decision-making and control[1].Therefore,the accuracy and reliability of visual perception directly influence the safety and performance of intelligent driving systems,making it a central factor in achieving truly intelligent and autonomous vehicles.Fig.1 illustrates the vision sensing in intelligent driving.展开更多
In this paper,we prove the global existence of strong solutions to a two-dimensional(2D)Keller-Segel-Navier-Stokes system with subcritical sensitivity in a bounded domain.Using energy methods,interpolation inequalitie...In this paper,we prove the global existence of strong solutions to a two-dimensional(2D)Keller-Segel-Navier-Stokes system with subcritical sensitivity in a bounded domain.Using energy methods,interpolation inequalities and the Gronwall lemma,we establish uniform a priori estimates for the solutions.We prove the existence and uniqueness of global strong solutions under appropriate initial conditions,along with higher-order Sobolev regularity of solutions.The result extends existing conclusions and enriches the global wellposedness theory for chemotaxis-fluid coupled models.展开更多
In this paper,we study a class of Laplacian-like equation.We first deduce the Pohozaev identity of the equation and consider the minimum of the functional on the Pohozaev manifold and then study the properties of the ...In this paper,we study a class of Laplacian-like equation.We first deduce the Pohozaev identity of the equation and consider the minimum of the functional on the Pohozaev manifold and then study the properties of the minimum energy of the functional.Based on the properties obtained,we prove the existence of normalized solution to the equation.展开更多
The Navier-Stokes(NS)equation with Coriolis force and density-dependent viscosity is an important physical model,which has been widely used to understand and analyze a wide array of phenomena,including behaviors of th...The Navier-Stokes(NS)equation with Coriolis force and density-dependent viscosity is an important physical model,which has been widely used to understand and analyze a wide array of phenomena,including behaviors of the Gulf stream,dynamics of hurricanes,operation of chemical reactors and functionality of rotating machines.In this paper,based on the matrix and curve integration techniques,we build a sufficient condition for the existence of Cartesian vector solutions u=b(t)+A(t)x for the N-dimensional NS equation,in which A satisfies appropriate matrix equations.Then,we discuss two special cases of A and thereby explicit analytical solutions are obtained.To shed light on these solutions,we give some illustrative examples.Among them,some examples form the generalization previously obtained by other authors and some examples are quite new.Finally,we analyze the properties of Cartesian vector solutions in a special case.展开更多
Physics-informed neural networks(PINNs)have emerged as powerful tools for data-driven solutions of partial differential equations.However,when solving complex solutions with a sharp gradient or waveform mutation regio...Physics-informed neural networks(PINNs)have emerged as powerful tools for data-driven solutions of partial differential equations.However,when solving complex solutions with a sharp gradient or waveform mutation region,the traditional PINNs method frequently has significantly higher prediction errors in critical regions than in other areas because of randomly or uniformly distributed sampling points.To overcome the limitations of PINNs in solving complex solutions,we propose a high-residual region resampling PINN(HRR-PINN)method.The HRR-PINN method uses a two-stage paradigm.Pre-training focuses on global modeling to obtain the residual of the network training,which is helpful for achieving a more precise sampling optimization.Secondary training focuses on computational resources of critical regions to specialize in optimizing high-residual regions based on the global results of pretraining,that is,adding new points in high-residual regions and removing low-residual points from the original set.To illustrate the effectiveness of the HRR-PINN method,we applied it to single-periodic solutions,rogue wave solutions on single-periodic backgrounds,and double-periodic solutions of the second-type derivative nonlinear Schr¨odinger equation.Numerical experiments show that the HRR-PINN method significantly optimizes the distribution of sampling points and reduces prediction errors.This confirms the effectiveness for solving complex solutions with abrupt waveform changes or sharp gradients of the HRR-PINN method.展开更多
Amine-based absorption has been regarded as the benchmark technology for CO2capture because of its high processing capacity and relatively mature process.However,its high-energy consumption associated with solvent ...Amine-based absorption has been regarded as the benchmark technology for CO2capture because of its high processing capacity and relatively mature process.However,its high-energy consumption associated with solvent regeneration severely limits large-scale deployment.In recent years,catalytic regeneration has emerged as a promising process intensification strategy to reduce regeneration energy consumption.By employing catalysts,the energy barriers for carbamate and bicarbonate decomposition can be largely reduced through enhanced proton transfer,acid-base cooperativity,and interfacial mass transport.This review provides a critical overview of recent advances in the catalytic regeneration of CO2-rich amine solutions.Acid catalysts are first classified according to material types and structural features.The catalytic mechanisms proposed for different systems are then discussed,together with catalyst deactivation and stability issues.Furthermore,emerging data-driven catalyst design strategies based on machine learning,as well as process-level evaluations using Aspen simulations,are summarized.Finally,recent pilot-scale demonstrations and the integration of catalytic regeneration with other process intensification technologies are reviewed.Key challenges and future research prospects are identified,including catalyst durability under alkaline conditions,solvent-catalyst compatibility,quantitative identification of active sites in liquid environments,and full-process energy optimization.This review aims to provide insight into the rational development of catalytic regeneration of amine solution for energy-efficient CO2capture technologies.展开更多
In this paper,we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem{-△u=(∫Ωu6-α(y)/|x-y|α)u5-α+λu,inΩ,u>0,inΩ,u=0,on■Ω,whereΩis a smooth bo...In this paper,we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem{-△u=(∫Ωu6-α(y)/|x-y|α)u5-α+λu,inΩ,u>0,inΩ,u=0,on■Ω,whereΩis a smooth bounded domain in R3,α∈(0,3),6−αis the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality,andλis a real positive parameter.By applying the reduction argument,we find and characterize a positive valueλ0 such that ifλ-λ0>0 is small enough,then the above problem admits a solution,which blows up and concentrates at the critical point of the Robin function asλ→λ0.Moreover,we consider the above problem under zero Neumann boundary condition.展开更多
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund...Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.展开更多
Food safety systems are generally effective for known contaminants but are less prepared for chemical hazards that are not captured through routine monitoring.This challenge is particularly relevant for animal-derived...Food safety systems are generally effective for known contaminants but are less prepared for chemical hazards that are not captured through routine monitoring.This challenge is particularly relevant for animal-derived foods,where hazardous chemicals may enter and change along the production chain,hindering their detection and interpretation.This review discusses the origins of emerging chemical hazards in animal-derived foods,why they can be overlooked by conventional monitoring,and strategies for integrating detection with public health frameworks.Targeted methods remain essential but are less capable of capturing low-concentration,transformed,or unexpected compounds.When combined with suspect screening and confidence-based identification,high-resolution mass spectrometry can extend detection beyond predefined targets and improve the interpretation of unexpected chemical signals.For public health practice,the value of expanded detection lies not only in identifying more chemicals but also in determining which signals require confirmation,evaluation,and consideration for future monitoring and control.展开更多
This work analyzes a quasilinear elliptic system describing a cross-diffusion preypredator model with Dirichlet boundary conditions and spatially heterogeneous environment.Treating the predator's intrinsic mortali...This work analyzes a quasilinear elliptic system describing a cross-diffusion preypredator model with Dirichlet boundary conditions and spatially heterogeneous environment.Treating the predator's intrinsic mortality rate k as a bifurcation parameter,we establish the global bifurcation of positive solutions from the semi-trivial solution branch using bifurcation theory and the method of upper and lower solutions.We prove that when the prey birth rate r is relatively high(i.e.,r>λ1[-D1(0)∆;m(x)])and k lies within a moderate interval(i.e.,H(r)<k<λ1[-D2(0)∆]),coexistence of prey and predator occurs,that is,the system admits positive solutions,where λ1[-D1(0)∆;m(x)]represents the principal eigenvalue of the boundary value problem(2.4)and H(r)is defined in(4.1).Furthermore,we derive precise conditions determining the direction of this bifurcation.Our results highlight the critical influence of the spatial distribution of prey resources m(x)on the existence of positive solutions for the system.展开更多
The phenomenon of shallow water waves in nature attracts the attention of scholars and plays an important role in fields such as marine ecology,tidal waves,solitary waves,and offshore engineering.To better understand ...The phenomenon of shallow water waves in nature attracts the attention of scholars and plays an important role in fields such as marine ecology,tidal waves,solitary waves,and offshore engineering.To better understand the phenomenon of shallow water waves,we investigate the(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada(2D-CDGKS)equation from the perspective of integrable decomposition.By utilizing the Lax pairs and formal variable separation(FVS)method,the 2D-CDGKS equation can be decomposed into the Sharma-Tasso-Olver(STO)equation,the integrable Svinolupov-Sokolov(SS)equation,and the Sawada-Kotera(SK)equation.We construct some novel exact solutions by linear superposing the integrable decomposition relations.Additionally,the superposition of two-soliton solution with three-soliton solution,two-soliton solution propagating on periodic cnoidal background waves,and soliton-cnoidal wave interaction solutions with interesting dynamics,are explored.Our results have important significance for understanding of the physical events consolidate the complex system under consideration and offering vital insights into the intricate dynamics of its behavior.Furthermore,the present work will enrich the investigation of nonlinear dynamics in highdimensional nonlinear system,and provide theoretical support for the related experimental phenomena.展开更多
Let A be a 3×3 singular or diagonalizable matrix,all solutions to the Yang-Baxter-like matrix equation have been determined.However,finding all solutions for full rank,non-diagonalizable matrices remains challeng...Let A be a 3×3 singular or diagonalizable matrix,all solutions to the Yang-Baxter-like matrix equation have been determined.However,finding all solutions for full rank,non-diagonalizable matrices remains challenging.By utilizing classification techniques,we establish all solutions of the Yang-Baxter-like matrix equation in this paper when the coefficient matrix A is similar to non-diagonalizable matrix diag(λ,J2(λ))withλ̸=0.More specifically,we divide the non-diagonal elements of the solution into 10 different cases.By discussing each situation,we establish all solutions of the Yang-Baxter-like matrix equation.The results of this work enrich the existing ones.展开更多
Based on current research,there is a lack of comprehensive review articles that systematically address the security issues of the internet of vehicles(IoV)using blockchain technology.In this study,we thoroughly analyz...Based on current research,there is a lack of comprehensive review articles that systematically address the security issues of the internet of vehicles(IoV)using blockchain technology.In this study,we thoroughly analyze the threats and challenges within IoV systems and provide a systematic review of blockchainbased IoV security solutions.This paper summarizes blockchain solutions for addressing key challenges in IoV,including network security,communication efficiency,resource optimization,data management,and transaction operational efficiency.Our findings indicate that blockchain technology can enhance V2X communication security,optimize resource utilization,ensure data integrity,and improve transaction security.Additionally,this paper explores future research directions,including advanced security mechanisms,efficient consensus algorithms,the integration of edge computing,and intelligent applications,demonstrating the potential of blockchain in tackling IoV system challenges.展开更多
This paper is concerned with an initial boundary value problem for the planar magnetohydrodynamic compressible flow with temperature dependent heat conductivity in a half-line.In particular,the transverse magnetic fie...This paper is concerned with an initial boundary value problem for the planar magnetohydrodynamic compressible flow with temperature dependent heat conductivity in a half-line.In particular,the transverse magnetic field is assumed to satisfy the Neumann boundary condition,which was first investigated by Kazhikhov in 1987.We establish the global existence of the unique strong solutions to the MHD equations without any smallness conditions on the initial data.More precisely,our result can be regarded as a natural generalization of Kazhikov’s result for applying the constant heat-conductivity in bounded domains to the degenerate case in unbounded domains.展开更多
Inverters play an essential and indispensable role in energy conversion within modern electrical power systems.Conventional two-level inverters(2LIs)have been widely adopted across industrial applications due to their...Inverters play an essential and indispensable role in energy conversion within modern electrical power systems.Conventional two-level inverters(2LIs)have been widely adopted across industrial applications due to their simple structure and mature control strategies.However,2LIs exhibit several limitations when interfacing with utility-scale grid systems,including higher harmonic distortion,increased switching stress,and reduced efficiency in high-voltage and high-power operations.Multilevel Inverters(MLIs)have emerged as a transformative solution,enabling high-voltage and high-power applications with improved efficiency and significantly lower harmonic distortion compared to traditional two-level configurations.This review investigates the broad range of applications of 2LIs,along with their operational constraints,and provides a comprehensive overview of major MLI topologies,including neutral-point-clamped(NPC),flying-capacitor(FC),cascaded H-bridge(CHB),hybrid structures,transformer-based converters,and matrix converters.Key modulation and control techniques are also discussed,such as SPWM,SHE,SVPWM and random PWM.Furthermore,this paper highlights the practical deployment of MLIs in industrial motor drives,renewable energy integration,uninterruptible power supplies,and energy storage systems.Beyond technical aspects,global trends in inverter development are examined by comparing efficiencies,capabilities,and challenges among major manufacturers worldwide.Overall,MLIs are presented as scalable,efficient,and reliable converter solutions for the future of industrial and utility-scale power systems,offering valuable insight into current advancements and promising research directions.展开更多
摘要In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficient solutions of the same multiobjectiveprogramming problem, but the converse is not true. In a ceratin sense , these solutionsare in fact better than any other Pareto efficient solutions. Some basic theorems whichcharacterize major-efficient solutions and weakly major-efficient solutions of multiobjective programming are stated and proved. Furthermore,the existence and some geometricproperties of these solutions are studied.
摘要In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-pointed, non-convex and non-closed into a finite union of disjoint strictly supported pointed convex cones, we discuss the continuous perturbations of the decision space. Several sufficient conditions for the continuity of the sets of majorly efficiellt points and solutions are given.
基金supported by the National Natural Science Foundation of China(Grant No.12362027)the Scientific Research Ability of Youth Teachers of Inner Mongolia Agricultural University(Grant No.BR230110)+3 种基金Inner Mongolia National Science Fund for Excellent Young Scholars(Grant No.2025YQ033)Foundation for Basic Science Research Initiation at Inner Mongolia Agricultural University(Grant No.JC2021001)The Natural Science Foundation of Inner Mongolia Autonomous Region(2025MS01020)Supported by the Basic and Applied Basic Research Science and Technology Program Projects of Hohhot(2025-rule-basic-60).
摘要This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive the nonlinear Boussinesq equation with external sources.We demonstrate the existence of explicit zero-order and first-order Wronskian solutions for the model equation whenα4=0.Furthermore,using a modified Jacobi elliptic function method,we obtain soliton-like solutions for bothα4=0 andα4≠0.Analysis of these solutions reveals that the generalizedβ-plane approximation and shear flow are significant factors in inducing nonlinear Rossby waves,and that external sources play a crucial role in influencing Rossby wave behavior.
基金supported by the NSFC(12071486,12001114)the Major State Basic Research of Higher Education of He’nan Provincial of China(17A110019).
摘要This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN),where f∈C(R,R),a,b>0 are constants,μ∈R is not fixed and instead appears as a Lagrange multiplier and m>0 is a given constant.In a mass subcritical case,using a version of the minimax theorem([32,Theorem 2.1])for a class of constrained even functionals,we demonstrate the existence of one nonradial normalized solution when N≥4.Additionally,if N≥4 and N≠5,we obtain multiple nonradial normalized solutions.Moreover,the existence of infinitely many radial normalized solutions is explored for N≥2.Furthermore,all solutions discussed above are sign-changing.As a supplementary result,we also prove the nonexistence of nontrivial solutions.Lastly,we analyze the asymptotic behavior of all solutions obtained above as b→0.
摘要We develop a new evolutionary method of generating epsilon-efficient solutions of a continuous multiobjective programming problem. This is achieved by discretizing the problem and then using a genetic algorithm with some derived probabilistic stopping criteria to obtain all minimal solutions for the discretized problem. We prove that these minimal solutions are the epsilon-optimal solutions to the original problem. We also present some computational examples illustrating the efficiency of our method.
基金supported by the National Natural Science Foundation of China(52102438)the China Postdoctoral Science Foundation(2022M711803 and 2024T170482)the State Key Laboratory of Intelligent Green Vehicle and Mobility。
摘要1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition data,assisting driving decisions,and enabling autonomous driving functions.Compared with other in-vehicle perception sensors,vision sensors deliver more detailed and comprehensive environmental information,offering vital data to support intelligent driving decision-making and control[1].Therefore,the accuracy and reliability of visual perception directly influence the safety and performance of intelligent driving systems,making it a central factor in achieving truly intelligent and autonomous vehicles.Fig.1 illustrates the vision sensing in intelligent driving.
基金Supported by the National Natural Science Foundation of China(12171459)the Key Project of University Natural Science of Anhui Province(2023AH052096)。
摘要In this paper,we prove the global existence of strong solutions to a two-dimensional(2D)Keller-Segel-Navier-Stokes system with subcritical sensitivity in a bounded domain.Using energy methods,interpolation inequalities and the Gronwall lemma,we establish uniform a priori estimates for the solutions.We prove the existence and uniqueness of global strong solutions under appropriate initial conditions,along with higher-order Sobolev regularity of solutions.The result extends existing conclusions and enriches the global wellposedness theory for chemotaxis-fluid coupled models.
基金supported by the Natural Science Foundation of China(12571191)the Natural Science Foundation of Hunan Province(2023JJ30645)the Hunan Basic Science Research Center for Mathematical Analysis(2024JC2002)。
摘要In this paper,we study a class of Laplacian-like equation.We first deduce the Pohozaev identity of the equation and consider the minimum of the functional on the Pohozaev manifold and then study the properties of the minimum energy of the functional.Based on the properties obtained,we prove the existence of normalized solution to the equation.
基金supported by the National Natural Science Foundation of China under grant Nos.12371250,42375002Jiangsu Provincial Natural Science Foundation under grant No.BK20221508 and No.2024-JSS-GF-095-06by Hong Kong General Research Fund(GRF)under grant No.18300821,18300622 and 18300424。
摘要The Navier-Stokes(NS)equation with Coriolis force and density-dependent viscosity is an important physical model,which has been widely used to understand and analyze a wide array of phenomena,including behaviors of the Gulf stream,dynamics of hurricanes,operation of chemical reactors and functionality of rotating machines.In this paper,based on the matrix and curve integration techniques,we build a sufficient condition for the existence of Cartesian vector solutions u=b(t)+A(t)x for the N-dimensional NS equation,in which A satisfies appropriate matrix equations.Then,we discuss two special cases of A and thereby explicit analytical solutions are obtained.To shed light on these solutions,we give some illustrative examples.Among them,some examples form the generalization previously obtained by other authors and some examples are quite new.Finally,we analyze the properties of Cartesian vector solutions in a special case.
基金supported by the National Natural Science Foundation of China(Grant Nos.12547136,12575002,and 12235007).
摘要Physics-informed neural networks(PINNs)have emerged as powerful tools for data-driven solutions of partial differential equations.However,when solving complex solutions with a sharp gradient or waveform mutation region,the traditional PINNs method frequently has significantly higher prediction errors in critical regions than in other areas because of randomly or uniformly distributed sampling points.To overcome the limitations of PINNs in solving complex solutions,we propose a high-residual region resampling PINN(HRR-PINN)method.The HRR-PINN method uses a two-stage paradigm.Pre-training focuses on global modeling to obtain the residual of the network training,which is helpful for achieving a more precise sampling optimization.Secondary training focuses on computational resources of critical regions to specialize in optimizing high-residual regions based on the global results of pretraining,that is,adding new points in high-residual regions and removing low-residual points from the original set.To illustrate the effectiveness of the HRR-PINN method,we applied it to single-periodic solutions,rogue wave solutions on single-periodic backgrounds,and double-periodic solutions of the second-type derivative nonlinear Schr¨odinger equation.Numerical experiments show that the HRR-PINN method significantly optimizes the distribution of sampling points and reduces prediction errors.This confirms the effectiveness for solving complex solutions with abrupt waveform changes or sharp gradients of the HRR-PINN method.
基金supported by the National Natural Science Foundation of China(Grants 21878097 and 22178109).
摘要Amine-based absorption has been regarded as the benchmark technology for CO2capture because of its high processing capacity and relatively mature process.However,its high-energy consumption associated with solvent regeneration severely limits large-scale deployment.In recent years,catalytic regeneration has emerged as a promising process intensification strategy to reduce regeneration energy consumption.By employing catalysts,the energy barriers for carbamate and bicarbonate decomposition can be largely reduced through enhanced proton transfer,acid-base cooperativity,and interfacial mass transport.This review provides a critical overview of recent advances in the catalytic regeneration of CO2-rich amine solutions.Acid catalysts are first classified according to material types and structural features.The catalytic mechanisms proposed for different systems are then discussed,together with catalyst deactivation and stability issues.Furthermore,emerging data-driven catalyst design strategies based on machine learning,as well as process-level evaluations using Aspen simulations,are summarized.Finally,recent pilot-scale demonstrations and the integration of catalytic regeneration with other process intensification technologies are reviewed.Key challenges and future research prospects are identified,including catalyst durability under alkaline conditions,solvent-catalyst compatibility,quantitative identification of active sites in liquid environments,and full-process energy optimization.This review aims to provide insight into the rational development of catalytic regeneration of amine solution for energy-efficient CO2capture technologies.
基金supported by the Natural Science Foundation of Chongqing,China(CSTB2024NSCQ-LZX0038)supported by the Chongqing Graduate Student Research Innovation Project(CYB25100).
摘要In this paper,we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem{-△u=(∫Ωu6-α(y)/|x-y|α)u5-α+λu,inΩ,u>0,inΩ,u=0,on■Ω,whereΩis a smooth bounded domain in R3,α∈(0,3),6−αis the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality,andλis a real positive parameter.By applying the reduction argument,we find and characterize a positive valueλ0 such that ifλ-λ0>0 is small enough,then the above problem admits a solution,which blows up and concentrates at the critical point of the Robin function asλ→λ0.Moreover,we consider the above problem under zero Neumann boundary condition.
摘要Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.
基金supported by the National Key Research and Development Program of China(grant number 2024YFF1105905).
摘要Food safety systems are generally effective for known contaminants but are less prepared for chemical hazards that are not captured through routine monitoring.This challenge is particularly relevant for animal-derived foods,where hazardous chemicals may enter and change along the production chain,hindering their detection and interpretation.This review discusses the origins of emerging chemical hazards in animal-derived foods,why they can be overlooked by conventional monitoring,and strategies for integrating detection with public health frameworks.Targeted methods remain essential but are less capable of capturing low-concentration,transformed,or unexpected compounds.When combined with suspect screening and confidence-based identification,high-resolution mass spectrometry can extend detection beyond predefined targets and improve the interpretation of unexpected chemical signals.For public health practice,the value of expanded detection lies not only in identifying more chemicals but also in determining which signals require confirmation,evaluation,and consideration for future monitoring and control.
基金Supported by the Discipline Construction Fund Project of Northwest Minzu Universitythe National Natural Science Foundation of China(Grant No.12361101)。
摘要This work analyzes a quasilinear elliptic system describing a cross-diffusion preypredator model with Dirichlet boundary conditions and spatially heterogeneous environment.Treating the predator's intrinsic mortality rate k as a bifurcation parameter,we establish the global bifurcation of positive solutions from the semi-trivial solution branch using bifurcation theory and the method of upper and lower solutions.We prove that when the prey birth rate r is relatively high(i.e.,r>λ1[-D1(0)∆;m(x)])and k lies within a moderate interval(i.e.,H(r)<k<λ1[-D2(0)∆]),coexistence of prey and predator occurs,that is,the system admits positive solutions,where λ1[-D1(0)∆;m(x)]represents the principal eigenvalue of the boundary value problem(2.4)and H(r)is defined in(4.1).Furthermore,we derive precise conditions determining the direction of this bifurcation.Our results highlight the critical influence of the spatial distribution of prey resources m(x)on the existence of positive solutions for the system.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.12501333 and 12271324)the Natural Science Basic Research Program of Shaanxi Province,China(Grant No.2024JC-YBQN-0069)+2 种基金the China Postdoctoral Science Foundation(Grant No.2024M751921)the 2023 Shaanxi Province Postdoctoral Research Project(Grant No.2023BSHEDZZ186)the Fundamental Research Funds for the Central Universities(Grant No.GK202304028)。
摘要The phenomenon of shallow water waves in nature attracts the attention of scholars and plays an important role in fields such as marine ecology,tidal waves,solitary waves,and offshore engineering.To better understand the phenomenon of shallow water waves,we investigate the(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada(2D-CDGKS)equation from the perspective of integrable decomposition.By utilizing the Lax pairs and formal variable separation(FVS)method,the 2D-CDGKS equation can be decomposed into the Sharma-Tasso-Olver(STO)equation,the integrable Svinolupov-Sokolov(SS)equation,and the Sawada-Kotera(SK)equation.We construct some novel exact solutions by linear superposing the integrable decomposition relations.Additionally,the superposition of two-soliton solution with three-soliton solution,two-soliton solution propagating on periodic cnoidal background waves,and soliton-cnoidal wave interaction solutions with interesting dynamics,are explored.Our results have important significance for understanding of the physical events consolidate the complex system under consideration and offering vital insights into the intricate dynamics of its behavior.Furthermore,the present work will enrich the investigation of nonlinear dynamics in highdimensional nonlinear system,and provide theoretical support for the related experimental phenomena.
基金Supported by National Natural Science Foundation of China(Grant No.62173161).
摘要Let A be a 3×3 singular or diagonalizable matrix,all solutions to the Yang-Baxter-like matrix equation have been determined.However,finding all solutions for full rank,non-diagonalizable matrices remains challenging.By utilizing classification techniques,we establish all solutions of the Yang-Baxter-like matrix equation in this paper when the coefficient matrix A is similar to non-diagonalizable matrix diag(λ,J2(λ))withλ̸=0.More specifically,we divide the non-diagonal elements of the solution into 10 different cases.By discussing each situation,we establish all solutions of the Yang-Baxter-like matrix equation.The results of this work enrich the existing ones.
基金sponsored by the National Key Research and Development Program of China(2023YFE0111100)the National Natural Science Foundation of China No.U24B201114,6247070859,62302114 and No.62172353+1 种基金Innovation Fund Program of the Engineering Research Center for Integration and Application of Digital Learning Technology of Ministry of Education No.1331007 and No.1311022Natural Science Foundation of Guangdong Province No.2024A1515010177.
摘要Based on current research,there is a lack of comprehensive review articles that systematically address the security issues of the internet of vehicles(IoV)using blockchain technology.In this study,we thoroughly analyze the threats and challenges within IoV systems and provide a systematic review of blockchainbased IoV security solutions.This paper summarizes blockchain solutions for addressing key challenges in IoV,including network security,communication efficiency,resource optimization,data management,and transaction operational efficiency.Our findings indicate that blockchain technology can enhance V2X communication security,optimize resource utilization,ensure data integrity,and improve transaction security.Additionally,this paper explores future research directions,including advanced security mechanisms,efficient consensus algorithms,the integration of edge computing,and intelligent applications,demonstrating the potential of blockchain in tackling IoV system challenges.
基金supported by the National Natural Science Foundation of China(12401279,12371219)the Academic and Technical Leaders Training Plan of Jiangxi Province(20212BCJ23027).
摘要This paper is concerned with an initial boundary value problem for the planar magnetohydrodynamic compressible flow with temperature dependent heat conductivity in a half-line.In particular,the transverse magnetic field is assumed to satisfy the Neumann boundary condition,which was first investigated by Kazhikhov in 1987.We establish the global existence of the unique strong solutions to the MHD equations without any smallness conditions on the initial data.More precisely,our result can be regarded as a natural generalization of Kazhikov’s result for applying the constant heat-conductivity in bounded domains to the degenerate case in unbounded domains.
摘要Inverters play an essential and indispensable role in energy conversion within modern electrical power systems.Conventional two-level inverters(2LIs)have been widely adopted across industrial applications due to their simple structure and mature control strategies.However,2LIs exhibit several limitations when interfacing with utility-scale grid systems,including higher harmonic distortion,increased switching stress,and reduced efficiency in high-voltage and high-power operations.Multilevel Inverters(MLIs)have emerged as a transformative solution,enabling high-voltage and high-power applications with improved efficiency and significantly lower harmonic distortion compared to traditional two-level configurations.This review investigates the broad range of applications of 2LIs,along with their operational constraints,and provides a comprehensive overview of major MLI topologies,including neutral-point-clamped(NPC),flying-capacitor(FC),cascaded H-bridge(CHB),hybrid structures,transformer-based converters,and matrix converters.Key modulation and control techniques are also discussed,such as SPWM,SHE,SVPWM and random PWM.Furthermore,this paper highlights the practical deployment of MLIs in industrial motor drives,renewable energy integration,uninterruptible power supplies,and energy storage systems.Beyond technical aspects,global trends in inverter development are examined by comparing efficiencies,capabilities,and challenges among major manufacturers worldwide.Overall,MLIs are presented as scalable,efficient,and reliable converter solutions for the future of industrial and utility-scale power systems,offering valuable insight into current advancements and promising research directions.